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Simplifying (2 + -1x)(8 + x) = 0 Multiply (2 + -1x) * (8 + x) (2(8 + x) + -1x * (8 + x)) = 0 ((8 * 2 + x * 2) + -1x * (8 + x)) = 0 ((16 + 2x) + -1x * (8 + x)) = 0 (16 + 2x + (8 * -1x + x * -1x)) = 0 (16 + 2x + (-8x + -1x2)) = 0 Combine like terms: 2x + -8x = -6x (16 + -6x + -1x2) = 0 Solving 16 + -6x + -1x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -1x)(8 + x) = 0Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Solution
x = {2, -8}
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